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<title>SLEEF - Benchmark Results</title>
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<h1>SLEEF Documentation - Benchmark Results</h1>

<h2>Table of contents</h2>

<ul class="none" style="font-family: arial, sansserif; padding-left: 0.5cm;">
  <li><a class="underlined" href="index.xhtml">Introduction</a></li>
  <li><a class="underlined" href="compile.xhtml">Compiling and installing the library</a></li>
  <li><a class="underlined" href="purec.xhtml">Math library reference</a></li>
  <li><a class="underlined" href="dft.xhtml">DFT library reference</a></li>
  <li><a class="underlined" href="misc.xhtml">Other tools included in the package</a></li>
  <li>&nbsp;</li>
  <li><a class="underlined" href="benchmark.xhtml">Benchmark results</a></li>
  <li>&nbsp;</li>
  <li><a class="underlined" href="additional.xhtml">Additional notes</a></li>
</ul>

  <h2>Benchmark results</h2>

  <p class="noindent" style="font-size:1em; margin-top:0.5cm;">
    These graphs show comparison of the execution time between
    <a class="undecorated"
    href="https://github.com/shibatch/sleef">SLEEF</a>-3.2 compiled
    with GCC-7.2 and Intel SVML included in Intel C Compiler 18.0.1.
  </p>

  <p style="font-size:1em;">
    The execution time of each function is measured by executing each
    function 10^8 times and taking the average time. Each time a
    function is executed, a uniformly distributed random number is set
    to each element of the argument vector(each element is set a
    different value.)  The ranges of the random number for each
    function are shown below. Argument vectors are generated before
    the measurement, and the time to generate random argument vectors
    is not included in the execution time.
  </p>

  <br/>
  
  <ul>
    <li>Trigonometric functions : [0, 6.28] and [0, 10^6] for
    double-precision functions. [0, 6.28] and [0, 30000] for
    single-precision functions.</li>
    <li>Log : [0, 10^300] and [0, 10^38] for double-precision
    functions and single-precision functions, respectively.</li>
    <li>Exp : [-700, 700] and [-100, 100] for double-precision
    functions and single-precision functions, respectively.</li>
    <li>Pow : [-30, 30] for both the first and the second
    arguments.</li>
    <li>Asin : [-1, 1]</li>
    <li>Atan : [-10, 10]</li>
    <li>Atan2 : [-10, 10] for both the first and the second
    arguments.</li>
  </ul>

  <br/>
  
  <p style="font-size:1em;">
    The accuracy of SVML functions can be chosen by compiler options,
    not the function names. "-fimf-max-error=1.0" option is specified
    to icc to obtain the 1-ulp-accuracy results, and
    "-fimf-max-error=5.0" option is used for the 5-ulp-accuracy
    results.
  </p>
  
  <p style="font-size:1em;">
    Those results are measured on a PC with Intel Core i7-6700 CPU @
    3.40GHz with Turbo Boost turned off. The CPU should be always
    running at 3.4GHz during the measurement.
  </p>

  <p style="font-size:1.2em; margin-top:1.0cm;">
    <b style="color:#0050a0;">Click graphs to magnify</b>.
  </p>
  
  <p style="margin-bottom:1cm;">&nbsp;</p>
  
  <p style="text-align:center; margin-bottom:2cm;">
    <a class="nothing" href="trigdp.png">
      <img src="trigdp.png" alt="Performance graph for DP trigonometric functions" width="50%" height="50%"/>
    </a>
    <br />
    Fig. 6.1: Execution time of double precision trigonometric functions
  </p>
  
  <p style="text-align:center; margin-bottom:2cm;">
    <a class="nothing" href="trigsp.png">
      <img src="trigsp.png" alt="Performance graph for SP trigonometric functions" width="50%" height="50%"/>
    </a>
    <br />
    Fig. 6.2: Execution time of single precision trigonometric functions
  </p>
  
  <p style="text-align:center; margin-bottom:2cm;">
    <a class="nothing" href="nontrigdp.png">
      <img src="nontrigdp.png" alt="Performance graph for other DP functions" width="50%" height="50%"/>
    </a>
    <br />
    Fig. 6.3: Execution time of double precision log, exp, pow and inverse trigonometric functions
  </p>

  <p style="text-align:center; margin-bottom:2cm;">
    <a class="nothing" href="nontrigsp.png">
      <img src="nontrigsp.png" alt="Performance graph for other SP functions" width="50%" height="50%"/>
    </a>
    <br />
    Fig. 6.4: Execution time of single precision log, exp, pow and inverse trigonometric functions
  </p>


<p class="footer">
  Copyright &copy; <!--YEAR--> SLEEF Project.<br/>
  SLEEF is open-source software and is distributed under the Boost Software License, Version 1.0.
</p>

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